How do you use PEMDAS to simplify #2[-4+3(-7+4)]#?

2 Answers
Feb 8, 2016

2[−4+3(−7+4)]

The expression has so many parenthesis that no rule of order of operations is needed

2[−4+3(-3)]

2[−4-9]

2[−13]

-26

Feb 8, 2016

Answer:

#2[-4+3(-7+4)] = -26#

Explanation:

First, we evaluate any expressions within parentheses.

#2color(red)([##-4+3color(blue)((##-7+4color(blue))##color(red)]#

Within the innermost parentheses, there are no exponents, and no multiplication or division, thus we move on to adding #-7# and #4#

#=2color(red)([##-4+3(-3)##color(red)]#

Within the outer parentheses, there are no exponents, so we move on to multiplying #3# and #-3#.

#2color(red)([# #-4+color(blue)(3(-3)# #color(red)]#

#=2color(red)([# #-4+(-9)# #color(red)]#

There is no more multiplication within the outer parentheses, and so we move on to adding #-4# and #-9#

#=2[-13]#

Now that there are no operations left within parentheses, we continue. The only operation remaining outside of parentheses is to multiply #2# and #-13#

#=-26#